Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 625 920 824 712 625 920 824 712 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 160 167 158 163 160 167 158 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 188 245 141 162 188 245 141 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System What is the value of 8/11 of 5/7 of 96% of 28875 ? 14400 13800 12900 15400 14400 13800 12900 15400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number = 8 x 5 x 96 x 28875/11 x 7 x 100 = 14400
Number System Find out the smallest possible number which will be divisible by 1122 as well as 153. 4366 1366 3366 2366 4366 1366 3366 2366 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3366
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 8 3.5 None of these 6 8 3.5 None of these 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
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